Yes. as champ @xmasbaby0 said, your Florida-based employer should withhold federal income tax if you are an employee. If you are an independent contractor, then — no — your company does not have to withhold tax and you will have to make quarterly estimated tax payments.
Fill out a Form W-4 and give it to your employer for federal withholding.
You can fill out a Form SC W-4 and give it to your employer to get state tax withheld.
